Answer:
631, 633, 635
Explanation:
Odd numbers exists in AP with common difference of 2.
That is; 1, 2, 5, 7 etc
So lets say the middle number of the three consecutive numbers is x, the next number to it Will be (x+2), and the previous number will be (x-2)
Therefore, the sequence is (x-2), x, (x+2) ... (1)
and the series will be, (x+
-2) + x + (x+2) = 1899
Solve for x;
x + x + x - 2 + 2 = 1899
3x + 0 = 1899
x = 1899 ÷ 3
x = 633
Therefore the consecutive odd numbers (following 1) is: (633 - 2), 633, (633+2) = 631, 633, 635